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Finding the Third Proportional to 65,953 and 155,534

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Solution

The third proportional to 65,953 and 155,534 is: 366,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,953 : 155,534 = 155,534 : x
  2. Step 2: Convert to fraction form
    65,953/155,534 = 155,534/x
  3. Step 3: Cross multiply
    65,953x = 155,534 × 155,534
  4. Step 4: Simplify right side
    65,953x = 24,190,825,156
  5. Step 5: Solve for x
    x = 24,190,825,156/65,953
  6. Step 6: Final answer
    x = 366,788.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.